879072480 has 384 divisors, whose sum is σ = 3617187840. Its totient is φ = 196577280.

The previous prime is 879072479. The next prime is 879072541. The reversal of 879072480 is 84270978.

879072480 is a `hidden beast` number, since 87 + 90 + 7 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 617049 + ... + 618471.

It is an arithmetic number, because the mean of its divisors is an integer number (9419760).

Almost surely, 2^879072480 is an apocalyptic number.

879072480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 879072480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808593920).

879072480 is an abundant number, since it is smaller than the sum of its proper divisors (2738115360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

879072480 is a wasteful number, since it uses less digits than its factorization.

879072480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 879072480 is about 29649.1564804127. The cubic root of 879072480 is about 957.9471759554.

The spelling of 879072480 in words is "eight hundred seventy-nine million, seventy-two thousand, four hundred eighty".